关键词: 故障检测与隔离, 故障依赖方法, 随机故障, H_∞滤波, 线性矩阵不等式

Abstract:

This paper focuses on the fault detection of a class of discrete-time systems with random faults and proposes a fault-dependent approach. Firstly, a mathematical model is constructed to describe the above problems, and the characteristics of fault signals are transformed into matrices containing uncertainties. By constructing a fault detection filter as a residual generator, the fault detection and isolation (FDI) problem is transformed into a H_∞filtering problem. Based on the established model, the  H_∞ performance is analyzed by adopting a fault-dependent method. The parameter-dependent Lyapunov function is selected for processing. On this basis, the existence condition of the fault detection filter is given in the form of linear matrix inequalities. Finally, an example is used to verify the effectiveness and practicability of the theoretical results.

Key words: Fault detection and isolation, Fault dependence method, Random fault, H_&infin,  filtering, Linear matrix inequality